Superman definitely need to acknowledge that his powers contribute to who he is, in the sense that, Superman is a guy who was raised to believe that everyone should use what they have to help others and so, having been given so much by his alien DNA he is constantly pushing himself to do more to help people. From each according to his ability, to each according to his need (oh yeah, Superman is all about that class struggle, the early stories are mostly just him harassing corrupt factory owners).
Superman needs those connections to Lois and Jimmy and the guy down the hall or whoever he brushes up against on the subway so that he never forgets who these people are and what he is fighting for and doesn’t go all Doctor Manhattan and become a distant god.
Narratively those connections are important because they give him more… weaknesses is the wrong word, because they’re his strength, but things he cares about that can be threatened, every hero needs to care about something for there to be conflict, and also they give him people he can interact with and be vulnerable with.
much has been made of is Superman the disguise or Clark Kent, but I have this theory that Superman actually has three identities, there’s Clark Kent, the kind and honest but clumsy, meek, and reporter, that’s obviously largely facade. and then there’s Superman who is a pillar of strength and stoicism and he never gives up and never shows weakness, that’s a bit closer to the truth maybe, but it’s still a bit of front, that Superman is a symbol more than a man.
Then there’s the Superman/Clark Kent that only his closest friends see, the Superman you get when he is just hanging out with Batman after a case, or the Clark Kent who you get when he is having a quiet picnic on the roof of the Daily Planet with Lois Lane before he has to fly off to save the day again, those moments, when he doesn’t have to pretend to be just Clark Kent and he doesn’t have to pretend to be just the cape and the S and the powers, those moments are when he can be who he really is which is both, a man with incredible powers and a strong moral fibre, but also hopes and fears and dreams and doubts who wonders who he would be if weren’t Superman and fears who he might become if he weren’t Clark Kent. A man who is completely head over heels in love with Lois Lane because he sees in her everything he knows humanity can be somebody with out his powers who isn’t bullet proof who still does everything she can and puts her life on the line again and again to fight for Truth and Justice.